Fractions Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
Which is larger: 37\frac{3}{7} or 511\frac{5}{11}?

Solution

  1. 1
    Cross-multiply to compare: 3×11=333 \times 11 = 33 and 5×7=355 \times 7 = 35.
  2. 2
    Since 33<3533 < 35, we have 37<511\frac{3}{7} < \frac{5}{11}.
  3. 3
    Alternatively, convert to decimals: 37≈0.4286\frac{3}{7} \approx 0.4286 and 511≈0.4545\frac{5}{11} \approx 0.4545, confirming 511\frac{5}{11} is larger.

Answer

511\frac{5}{11}
Cross-multiplication is a quick way to compare two fractions without finding a common denominator. If ab\frac{a}{b} vs cd\frac{c}{d}, compare a×da \times d with c×bc \times b.

About Fractions

A fraction is a number of the form ab\frac{a}{b} where aa (the numerator) counts how many equal parts you have and bb (the denominator, which must not be zero) tells how many equal parts the whole is divided into.

Learn more about Fractions →

More Fractions Examples

Example 1 easy

Add [formula].

Example 3 easy

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Example 4 medium

Arrange [formula], [formula], and [formula] in order from least to greatest.

Example 5 medium

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